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Table of Contents
Intro
Preface
Contents
Life and Work of Eduard Wirsing
1 A Brief Biography
2 The Early Years 1950-1957: Additive Number Theory
3 The Postdoc Period 1958-1969: Primes and Approximations
4 Thirty Years as Professor 1969-1999: From Logarithms to Partitions
5 Retirement and No End: Lattice Points, Rigidity, and More
6 Isolated, Unpublished and Late Results
References
Remembering Eduard Wirsing
References
Personal Memories
On the Infimum of the Absolute Value of Successive Derivatives of a Real Function Defined on a Bounded Interval
1 Introduction
2.1 A Little Lemma
2.2 Reduction of Theorem 1.1
2.3 Proof of Theorem 1.1
3 Proof of Theorem 1.2
3.1 Reduction
3.2 Proof of Theorem 1.2
References
Wirsing's Elementary Proofs of the Prime Number Theorem with Remainder Terms
1 Historical Background
2 The Selberg Formula Mechanism
3 Error Estimates, I
4 Error Estimates, II
References
Diophantine Analysis Around [1,2,3,...]
1 Introduction of the Zopf-Number
2 Rational Convergents of the Zopf-Number
3 Quadratic Convergents of the Zopf-Number
3.1 An Application to the Zopf-Number
3.2 Expressing Quadratic Convergents by Numerators and Denominators of Rational Convergents
3.3 On the Approximation of the Zopf-Number by Quadratic Convergents
3.4 Proof of Lemma 3.4
3.5 Proof of Lemma 3.7
4 Error Sums of the Zopf-Number
4.1 Preliminaries
4.2 Main Results
4.3 Proofs
5 Concluding Comments
References
On a Smoothed Average of the Number of Goldbach Representations
1 Introduction and Statement of Results
2 Lemmas
3 Proof of Theorem 1.1
4 Transition from Fq(N) to Gq(N)
References
Preface
Contents
Life and Work of Eduard Wirsing
1 A Brief Biography
2 The Early Years 1950-1957: Additive Number Theory
3 The Postdoc Period 1958-1969: Primes and Approximations
4 Thirty Years as Professor 1969-1999: From Logarithms to Partitions
5 Retirement and No End: Lattice Points, Rigidity, and More
6 Isolated, Unpublished and Late Results
References
Remembering Eduard Wirsing
References
Personal Memories
On the Infimum of the Absolute Value of Successive Derivatives of a Real Function Defined on a Bounded Interval
1 Introduction
2.1 A Little Lemma
2.2 Reduction of Theorem 1.1
2.3 Proof of Theorem 1.1
3 Proof of Theorem 1.2
3.1 Reduction
3.2 Proof of Theorem 1.2
References
Wirsing's Elementary Proofs of the Prime Number Theorem with Remainder Terms
1 Historical Background
2 The Selberg Formula Mechanism
3 Error Estimates, I
4 Error Estimates, II
References
Diophantine Analysis Around [1,2,3,...]
1 Introduction of the Zopf-Number
2 Rational Convergents of the Zopf-Number
3 Quadratic Convergents of the Zopf-Number
3.1 An Application to the Zopf-Number
3.2 Expressing Quadratic Convergents by Numerators and Denominators of Rational Convergents
3.3 On the Approximation of the Zopf-Number by Quadratic Convergents
3.4 Proof of Lemma 3.4
3.5 Proof of Lemma 3.7
4 Error Sums of the Zopf-Number
4.1 Preliminaries
4.2 Main Results
4.3 Proofs
5 Concluding Comments
References
On a Smoothed Average of the Number of Goldbach Representations
1 Introduction and Statement of Results
2 Lemmas
3 Proof of Theorem 1.1
4 Transition from Fq(N) to Gq(N)
References